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应用科学学报 ›› 1999, Vol. 17 ›› Issue (3): 377-378.

• 论文 • 上一篇    

超导理论中一个反应扩散系统的解析解

谷元1, 郭本瑜2, 谷艺3   

  1. 1. 山东工业大学;
    2. 上海大学;
    3. 青岛大学
  • 收稿日期:1997-12-05 出版日期:1999-09-30 发布日期:1999-09-30

Analytic Solutions of a Reaction Diffusion System Arising in the Theory of Superconductivity

GU YUAN1, GUO BENYU2, GU YI3   

  1. 1. Department of Computer Science, Shandong University of Technology, Jinan 250061;
    2. Department of Mathematics, Shanghai University, Shanghai 201800;
    3. Department of Computer Science, Qingdao University, Qingdao 266071
  • Received:1997-12-05 Online:1999-09-30 Published:1999-09-30

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摘要： 研究了一个超导理论中的反应扩散系统,并且使用Painlevé分析和相似约化的方法构造出了它的多种解析解.

关键词: 解析解, 反应扩散系统, Painlevé性质, 相似约化

Abstract: A reaction diffusion system arising in the theory of superconductivity is considered and its many kinds of analytic solutions are constructed by the Painlevé analysis and similarity reduction methods.

Key words: similarity reduction, analytic solution, reaction diffusion system, Painlevé property